Metrics for Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1, D

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze402.0ms (6.2%)

Memory

20.0MiB live, 644.9MiB allocated; 105ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
0%	0%	99.8%	0.2%	0%	0%	0%	6
0%	0%	99.8%	0.2%	0%	0%	0%	7
0%	0%	99.8%	0.2%	0%	0%	0%	8
4.2%	3.1%	71.7%	0.2%	0%	25%	0%	9
4.2%	3.1%	71.3%	0.2%	0%	25.3%	0%	10
6.3%	4.7%	69.2%	0.2%	0%	25.9%	0%	11
9.2%	6.6%	65.8%	0.2%	0%	27.4%	0%	12

Compiler

Compiled 21 to 20 computations (4.8% saved)

sample4.6s (70.9%)

Memory

84.3MiB live, 6 228.5MiB allocated; 1.1s collecting garbage

Samples

2.2s	15 480×	0	invalid
1.1s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.3s

ival-mult: 938.0ms (41.2% of total)

ival-div: 839.0ms (36.9% of total)

ival-sqrt: 250.0ms (11% of total)

ival-acos: 182.0ms (8% of total)

exact: 50.0ms (2.2% of total)

ival-assert: 8.0ms (0.4% of total)

adjust: 7.0ms (0.3% of total)

Bogosity

explain494.0ms (7.6%)

Memory

104.3MiB live, 601.6MiB allocated; 249ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
31	-	2	(-1.1030492622851038e-304 -2438597452502853.5 2.931689498201022e-169 3.9648983012221616e+239)	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
19	-	0	-	`(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))`
0	-	0	-	`t`
0	-	0	-	`#s(literal 3 binary64)`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
0	-	0	-	`(*.f64 y #s(literal 27 binary64))`
0	-	0	-	`y`
0	-	0	-	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
0	-	0	-	`#s(literal 27 binary64)`
0	-	0	-	`z`
0	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))`
0	-	0	-	`(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(*.f64 z #s(literal 2 binary64))`
0	-	0	-	`(sqrt.f64 t)`
0	-	0	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`	u/n	28	0
↳	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`	underflow	59
↳	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`	underflow	59
`*.f64`	`(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))`	*nu**	19	0
`/.f64`	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`	o/n	1	0
↳	`(*.f64 y #s(literal 27 binary64))`	overflow	1
↳	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`	overflow	1
↳	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`	overflow	1

Confusion

	Predicted +	Predicted -
+	1	0
-	47	208

Precision

0.020833333333333332

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	47	0	208

Precision?

0.020833333333333332

Recall?

1.0

Freqs

test

number	freq
0	208
1	48

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

146.0ms

512×

valid

Compiler

Compiled 203 to 58 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 25.0ms (42.9% of total)

ival-sqrt: 15.0ms (25.7% of total)

ival-div: 11.0ms (18.9% of total)

ival-acos: 5.0ms (8.6% of total)

ival-true: 1.0ms (1.7% of total)

exact: 1.0ms (1.7% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess300.0ms (4.6%)

Memory

-4.1MiB live, 188.1MiB allocated; 167ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	92	263
1	287	227
2	1042	197
3	3987	197
4	7017	197
0	18	17
0	29	17
1	50	15
2	137	13
3	494	13
4	2142	13
5	5176	13
0	8214	13

Stop Event

1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Calls

Call 1

Inputs

(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))

Outputs

(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))

(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 1/3 binary64))

Symmetry

(sort y z)

Compiler

Compiled 19 to 18 computations (5.3% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))

Status

Accuracy

Program

▶

98.5%

(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))

Compiler

Compiled 19 to 18 computations (5.3% saved)

series35.0ms (0.5%)

Memory

13.3MiB live, 59.5MiB allocated; 2ms collecting garbage

Counts

18 → 17

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)
(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
(/.f64 x (*.f64 y #s(literal 27 binary64)))
x
(*.f64 y #s(literal 27 binary64))
y
#s(literal 27 binary64)
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(sqrt.f64 t)
t

Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (* 3 (/ x (* y 27))) #s(hole binary64 (* 1/9 (/ x y))))
#s(approx (/ x (* y 27)) #s(hole binary64 (* 1/27 (/ x y))))
#s(approx x #s(hole binary64 x))
#s(approx (* y 27) #s(hole binary64 (* 27 y)))
#s(approx y #s(hole binary64 y))
#s(approx (* z 2) #s(hole binary64 (* 2 z)))
#s(approx z #s(hole binary64 z))
#s(approx (sqrt t) #s(hole binary64 (sqrt t)))
#s(approx t #s(hole binary64 t))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (sqrt t) #s(hole binary64 (* -1 (* (sqrt t) (pow (sqrt -1) 2)))))

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (/ 1 3) 1 3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (/ x (* y 27)) x (* y 27) y 27 (* z 2) z 2 (sqrt t) t)
4.0ms	t	@	0	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (/ 1 3) 1 3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (/ x (* y 27)) x (* y 27) y 27 (* z 2) z 2 (sqrt t) t)
4.0ms	y	@	0	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (/ 1 3) 1 3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (/ x (* y 27)) x (* y 27) y 27 (* z 2) z 2 (sqrt t) t)
4.0ms	x	@	inf	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (/ 1 3) 1 3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (/ x (* y 27)) x (* y 27) y 27 (* z 2) z 2 (sqrt t) t)
3.0ms	x	@	0	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (/ 1 3) 1 3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (/ x (* y 27)) x (* y 27) y 27 (* z 2) z 2 (sqrt t) t)

rewrite50.0ms (0.8%)

Memory

-25.1MiB live, 70.5MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	353
0	90	340
0	186	340

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

35 → 51

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)
(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
(/.f64 x (*.f64 y #s(literal 27 binary64)))
x
(*.f64 y #s(literal 27 binary64))
y
#s(literal 27 binary64)
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(sqrt.f64 t)
t
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (* 3 (/ x (* y 27))) #s(hole binary64 (* 1/9 (/ x y))))
#s(approx (/ x (* y 27)) #s(hole binary64 (* 1/27 (/ x y))))
#s(approx x #s(hole binary64 x))
#s(approx (* y 27) #s(hole binary64 (* 27 y)))
#s(approx y #s(hole binary64 y))
#s(approx (* z 2) #s(hole binary64 (* 2 z)))
#s(approx z #s(hole binary64 z))
#s(approx (sqrt t) #s(hole binary64 (sqrt t)))
#s(approx t #s(hole binary64 t))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (sqrt t) #s(hole binary64 (* -1 (* (sqrt t) (pow (sqrt -1) 2)))))

Outputs
(.f64 (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x (.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64))))) #s(literal 1/3 binary64))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x (.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64))))))
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64))))))
(acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 t) (.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64))))
(.f64 (.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64))) (sqrt.f64 t))
(/.f64 (.f64 (.f64 (/.f64 x (.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (sqrt.f64 t)) (.f64 #s(literal 2 binary64) z))
(.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x (.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64)))
(.f64 #s(literal 3 binary64) (/.f64 (/.f64 x (.f64 #s(literal 27 binary64) y)) (*.f64 #s(literal 2 binary64) z)))
(/.f64 (/.f64 (.f64 (/.f64 x (.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) z) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 (/.f64 x (.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) z)))
(/.f64 (.f64 (/.f64 x (.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) z))
(.f64 (/.f64 x (.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64))
(.f64 #s(literal 3 binary64) (/.f64 x (.f64 #s(literal 27 binary64) y)))
(/.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 27 binary64) y))
(/.f64 (neg.f64 x) (neg.f64 (*.f64 #s(literal 27 binary64) y)))
(/.f64 (/.f64 x y) #s(literal 27 binary64))
(/.f64 x (*.f64 #s(literal 27 binary64) y))
x
(*.f64 #s(literal 27 binary64) y)
(*.f64 y #s(literal 27 binary64))
y
#s(literal 27 binary64)
(*.f64 #s(literal 2 binary64) z)
(*.f64 z #s(literal 2 binary64))
(+.f64 z z)
z
#s(literal 2 binary64)
(pow.f64 t #s(literal 1/2 binary64))
(sqrt.f64 t)
t
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (.f64 z y)))) #s(literal 1/3 binary64)))
#s(approx (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))))
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64)))
#s(approx (* 3 (/ x (* y 27))) (*.f64 (/.f64 x y) #s(literal 1/9 binary64)))
#s(approx (/ x (* y 27)) (*.f64 #s(literal 1/27 binary64) (/.f64 x y)))
#s(approx x x)
#s(approx (* y 27) (*.f64 #s(literal 27 binary64) y))
#s(approx y y)
#s(approx (* z 2) (*.f64 #s(literal 2 binary64) z))
#s(approx z z)
#s(approx (sqrt t) (sqrt.f64 t))
#s(approx t t)
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))) #s(literal 1/3 binary64)))
#s(approx (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))))
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (.f64 (.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z))))
#s(approx (sqrt t) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 t))))

eval6.0ms (0.1%)

Memory: 15.8MiB live, 15.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 116 to 218 computations (80.5% saved)

prune3.0ms (0%)

Memory

8.0MiB live, 8.0MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	49	3	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	3	53

Accuracy

98.5%

Counts

53 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 27 binary64) y)) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
▶	98.1%	#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (.f64 z y)))) #s(literal 1/3 binary64)))
▶	96.9%	#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))) #s(literal 1/3 binary64)))

Status

Accuracy

Program

▶

98.5%

(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 27 binary64) y)) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))

▶

98.1%

#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64)))

▶

96.9%

#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))) #s(literal 1/3 binary64)))

Compiler

Compiled 87 to 76 computations (12.6% saved)

series58.0ms (0.9%)

Memory

11.9MiB live, 87.7MiB allocated; 24ms collecting garbage

Counts

35 → 38

Calls

Call 1

Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))) #s(literal 1/3 binary64)))
(.f64 (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))) #s(literal 1/3 binary64))
(acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z))))
(.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
(*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z))
(/.f64 x y)
x
y
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
#s(literal 1/3 binary64)
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (.f64 z y)))) #s(literal 1/3 binary64)))
(.f64 (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (.f64 z y)))) #s(literal 1/3 binary64))
(acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))
(.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))
(/.f64 x (*.f64 z y))
(*.f64 z y)
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 27 binary64) y)) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)
(acos.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 27 binary64) y)) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
(.f64 (/.f64 (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 27 binary64) y)) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(/.f64 (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 27 binary64) y)) (*.f64 z #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 27 binary64) y))
(*.f64 #s(literal 3 binary64) x)
(*.f64 #s(literal 27 binary64) y)
#s(literal 27 binary64)
(*.f64 z #s(literal 2 binary64))
#s(literal 2 binary64)

Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (* (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) 1/3) #s(hole binary64 (* 1/3 (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) #s(hole binary64 (acos (* -1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z))) #s(hole binary64 (* -1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (* (/ x y) (/ -1 z)) #s(hole binary64 (* -1 (/ x (* y z)))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (* (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (* 1/18 (sqrt t)) (/ x (* z y))) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (/ x (* z y)) #s(hole binary64 (/ x (* y z))))
#s(approx (* (/ 1 3) (acos (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (/ (/ (* 3 x) (* 27 y)) (* z 2)) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (/ (* 3 x) (* 27 y)) #s(hole binary64 (* 1/9 (/ x y))))
#s(approx (* 3 x) #s(hole binary64 (* 3 x)))
#s(approx y #s(hole binary64 y))
#s(approx (* z y) #s(hole binary64 (* y z)))
#s(approx (* 27 y) #s(hole binary64 (* 27 y)))
#s(approx (/ -1 z) #s(hole binary64 (/ -1 z)))
#s(approx z #s(hole binary64 z))
#s(approx (* z 2) #s(hole binary64 (* 2 z)))
#s(approx (* 1/18 (sqrt t)) #s(hole binary64 (* 1/18 (sqrt t))))
#s(approx (sqrt t) #s(hole binary64 (sqrt t)))
#s(approx t #s(hole binary64 t))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (* (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) 1/3) #s(hole binary64 (* 1/3 (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) #s(hole binary64 (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z))) #s(hole binary64 (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (* 1/18 (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))))
#s(approx (sqrt t) #s(hole binary64 (* -1 (* (sqrt t) (pow (sqrt -1) 2)))))
#s(approx (* (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (* 1/18 (sqrt t)) (/ x (* z y))) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (* (/ 1 3) (acos (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (acos (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))

Calls

12 calls:

Time	Variable		Point	Expression
22.0ms	z	@	inf	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) 1/3) (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z))) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (* (/ x y) (/ -1 z)) (/ x y) x y (/ -1 z) -1 z 1/3 (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) 1/3) (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) (* (* 1/18 (sqrt t)) (/ x (* z y))) (/ x (* z y)) (* z y) (* (/ 1 3) (acos (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t)))) (/ 1 3) 1 3 (acos (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t))) (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t)) (/ (/ (* 3 x) (* 27 y)) (* z 2)) (/ (* 3 x) (* 27 y)) (* 3 x) (* 27 y) 27 (* z 2) 2)
6.0ms	x	@	0	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) 1/3) (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z))) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (* (/ x y) (/ -1 z)) (/ x y) x y (/ -1 z) -1 z 1/3 (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) 1/3) (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) (* (* 1/18 (sqrt t)) (/ x (* z y))) (/ x (* z y)) (* z y) (* (/ 1 3) (acos (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t)))) (/ 1 3) 1 3 (acos (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t))) (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t)) (/ (/ (* 3 x) (* 27 y)) (* z 2)) (/ (* 3 x) (* 27 y)) (* 3 x) (* 27 y) 27 (* z 2) 2)
3.0ms	x	@	inf	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) 1/3) (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z))) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (* (/ x y) (/ -1 z)) (/ x y) x y (/ -1 z) -1 z 1/3 (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) 1/3) (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) (* (* 1/18 (sqrt t)) (/ x (* z y))) (/ x (* z y)) (* z y) (* (/ 1 3) (acos (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t)))) (/ 1 3) 1 3 (acos (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t))) (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t)) (/ (/ (* 3 x) (* 27 y)) (* z 2)) (/ (* 3 x) (* 27 y)) (* 3 x) (* 27 y) 27 (* z 2) 2)
3.0ms	x	@	-inf	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) 1/3) (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z))) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (* (/ x y) (/ -1 z)) (/ x y) x y (/ -1 z) -1 z 1/3 (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) 1/3) (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) (* (* 1/18 (sqrt t)) (/ x (* z y))) (/ x (* z y)) (* z y) (* (/ 1 3) (acos (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t)))) (/ 1 3) 1 3 (acos (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t))) (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t)) (/ (/ (* 3 x) (* 27 y)) (* z 2)) (/ (* 3 x) (* 27 y)) (* 3 x) (* 27 y) 27 (* z 2) 2)
3.0ms	y	@	-inf	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) 1/3) (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z))) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (* (/ x y) (/ -1 z)) (/ x y) x y (/ -1 z) -1 z 1/3 (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) 1/3) (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) (* (* 1/18 (sqrt t)) (/ x (* z y))) (/ x (* z y)) (* z y) (* (/ 1 3) (acos (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t)))) (/ 1 3) 1 3 (acos (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t))) (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t)) (/ (/ (* 3 x) (* 27 y)) (* z 2)) (/ (* 3 x) (* 27 y)) (* 3 x) (* 27 y) 27 (* z 2) 2)

rewrite65.0ms (1%)

Memory

-19.3MiB live, 78.1MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	131	976
0	168	882
0	340	882

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

73 → 123

Calls

Call 1

Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))) #s(literal 1/3 binary64)))
(.f64 (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))) #s(literal 1/3 binary64))
(acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z))))
(.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
(*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z))
(/.f64 x y)
x
y
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
#s(literal 1/3 binary64)
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (.f64 z y)))) #s(literal 1/3 binary64)))
(.f64 (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (.f64 z y)))) #s(literal 1/3 binary64))
(acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))
(.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))
(/.f64 x (*.f64 z y))
(*.f64 z y)
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 27 binary64) y)) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)
(acos.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 27 binary64) y)) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
(.f64 (/.f64 (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 27 binary64) y)) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(/.f64 (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 27 binary64) y)) (*.f64 z #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 27 binary64) y))
(*.f64 #s(literal 3 binary64) x)
(*.f64 #s(literal 27 binary64) y)
#s(literal 27 binary64)
(*.f64 z #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (* (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) 1/3) #s(hole binary64 (* 1/3 (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) #s(hole binary64 (acos (* -1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z))) #s(hole binary64 (* -1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (* (/ x y) (/ -1 z)) #s(hole binary64 (* -1 (/ x (* y z)))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (* (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (* 1/18 (sqrt t)) (/ x (* z y))) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (/ x (* z y)) #s(hole binary64 (/ x (* y z))))
#s(approx (* (/ 1 3) (acos (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (/ (/ (* 3 x) (* 27 y)) (* z 2)) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (/ (* 3 x) (* 27 y)) #s(hole binary64 (* 1/9 (/ x y))))
#s(approx (* 3 x) #s(hole binary64 (* 3 x)))
#s(approx y #s(hole binary64 y))
#s(approx (* z y) #s(hole binary64 (* y z)))
#s(approx (* 27 y) #s(hole binary64 (* 27 y)))
#s(approx (/ -1 z) #s(hole binary64 (/ -1 z)))
#s(approx z #s(hole binary64 z))
#s(approx (* z 2) #s(hole binary64 (* 2 z)))
#s(approx (* 1/18 (sqrt t)) #s(hole binary64 (* 1/18 (sqrt t))))
#s(approx (sqrt t) #s(hole binary64 (sqrt t)))
#s(approx t #s(hole binary64 t))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (* (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) 1/3) #s(hole binary64 (* 1/3 (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) #s(hole binary64 (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z))) #s(hole binary64 (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (* 1/18 (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))))
#s(approx (sqrt t) #s(hole binary64 (* -1 (* (sqrt t) (pow (sqrt -1) 2)))))
#s(approx (* (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (* 1/18 (sqrt t)) (/ x (* z y))) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (* (/ 1 3) (acos (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (acos (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))

Outputs
#s(approx (* (/ 1 3) (acos (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (neg.f64 (/.f64 x (.f64 z y))) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1/3 binary64)))
(.f64 (acos.f64 (.f64 (neg.f64 (/.f64 x (.f64 z y))) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1/3 binary64))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (neg.f64 (/.f64 x (.f64 z y))) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (.f64 (neg.f64 (/.f64 x (.f64 z y))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(acos.f64 (.f64 (neg.f64 (/.f64 x (.f64 z y))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y)) (/.f64 #s(literal -1 binary64) z))
(.f64 (.f64 (neg.f64 (/.f64 x (*.f64 z y))) (sqrt.f64 t)) #s(literal 1/18 binary64))
(.f64 (neg.f64 (/.f64 x (.f64 z y))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (neg.f64 (/.f64 x (*.f64 z y))))
(.f64 #s(literal 1/18 binary64) (.f64 (neg.f64 (/.f64 x (*.f64 z y))) (sqrt.f64 t)))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
#s(literal 1/18 binary64)
(pow.f64 t #s(literal 1/2 binary64))
(sqrt.f64 t)
t
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x y))
(*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z))
(.f64 (/.f64 x (.f64 z y)) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 x (.f64 z y)))
(.f64 x (/.f64 #s(literal -1 binary64) (.f64 z y)))
(/.f64 (/.f64 (*.f64 #s(literal -1 binary64) x) y) z)
(/.f64 (*.f64 x (/.f64 #s(literal -1 binary64) z)) y)
(/.f64 (*.f64 (/.f64 x y) #s(literal -1 binary64)) z)
(/.f64 (neg.f64 (.f64 #s(literal -1 binary64) x)) (neg.f64 (.f64 z y)))
(/.f64 (.f64 #s(literal -1 binary64) x) (.f64 z y))
(neg.f64 (/.f64 x (*.f64 z y)))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
x
y
(/.f64 #s(literal -1 binary64) z)
(/.f64 #s(literal 1 binary64) (neg.f64 z))
#s(literal -1 binary64)
z
#s(literal 1/3 binary64)
#s(approx (* (/ 1 3) (acos (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (.f64 z y)))) #s(literal 1/3 binary64)))
(.f64 (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (.f64 z y)))) #s(literal 1/3 binary64))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (.f64 z y)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))))
(acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))
(.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))
(.f64 (.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 t)) #s(literal 1/18 binary64))
(.f64 (/.f64 x (.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(.f64 #s(literal 1/18 binary64) (.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 t)))
(/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))
(/.f64 (/.f64 x z) y)
(/.f64 (neg.f64 x) (neg.f64 (*.f64 z y)))
(/.f64 (/.f64 x y) z)
(/.f64 x (*.f64 z y))
(*.f64 z y)
(*.f64 y z)
(.f64 (acos.f64 (.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (/.f64 x y)) (.f64 #s(literal 2 binary64) z)) (sqrt.f64 t))) #s(literal 1/3 binary64))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (/.f64 x y)) (.f64 #s(literal 2 binary64) z)) (sqrt.f64 t))))
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (/.f64 x y)) (*.f64 #s(literal 2 binary64) z)) (sqrt.f64 t))))
(acos.f64 (.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (/.f64 x y)) (*.f64 #s(literal 2 binary64) z)) (sqrt.f64 t)))
(.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (/.f64 x y)) (*.f64 #s(literal 2 binary64) z)) (sqrt.f64 t))
(.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/9 binary64) (/.f64 x y)) (*.f64 #s(literal 2 binary64) z)))
(/.f64 (.f64 (.f64 #s(literal 1/9 binary64) (/.f64 x y)) (sqrt.f64 t)) (*.f64 #s(literal 2 binary64) z))
(*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 2 binary64)))
(.f64 #s(literal 3 binary64) (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) (.f64 #s(literal 2 binary64) z)))
(/.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 #s(literal 1/9 binary64) (/.f64 x y))) (neg.f64 (.f64 #s(literal 2 binary64) z)))
(/.f64 (.f64 x #s(literal 3 binary64)) (.f64 (.f64 #s(literal 27 binary64) y) (.f64 #s(literal 2 binary64) z)))
(/.f64 (.f64 #s(literal 1/9 binary64) (/.f64 x y)) (.f64 #s(literal 2 binary64) z))
(*.f64 #s(literal 1/9 binary64) (/.f64 x y))
(*.f64 (/.f64 x y) #s(literal 1/9 binary64))
(*.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) #s(literal 27 binary64)))
(/.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) y)
(/.f64 (*.f64 #s(literal 1/9 binary64) x) y)
(/.f64 (neg.f64 (.f64 x #s(literal 3 binary64))) (neg.f64 (.f64 #s(literal 27 binary64) y)))
(/.f64 (.f64 x #s(literal 3 binary64)) (.f64 #s(literal 27 binary64) y))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
(*.f64 #s(literal 27 binary64) y)
(*.f64 y #s(literal 27 binary64))
#s(literal 27 binary64)
(*.f64 #s(literal 2 binary64) z)
(*.f64 z #s(literal 2 binary64))
(+.f64 z z)
#s(literal 2 binary64)
#s(approx (* (/ 1 3) (acos (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (.f64 z y)))) #s(literal 1/3 binary64)))
#s(approx (* (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) 1/3) (.f64 (acos.f64 (.f64 (.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (/.f64 x (.f64 z y)))) #s(literal 1/3 binary64)))
#s(approx (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) (acos.f64 (.f64 (.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))))
#s(approx (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z))) (.f64 (.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))
#s(approx (* (/ x y) (/ -1 z)) (neg.f64 (/.f64 x (*.f64 z y))))
#s(approx (/ x y) (/.f64 x y))
#s(approx x x)
#s(approx (* (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) 1/3) (.f64 (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (.f64 z y)))) #s(literal 1/3 binary64)))
#s(approx (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))))
#s(approx (* (* 1/18 (sqrt t)) (/ x (* z y))) (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))
#s(approx (/ x (* z y)) (/.f64 x (*.f64 z y)))
#s(approx (* (/ 1 3) (acos (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (.f64 z y)))) #s(literal 1/3 binary64)))
#s(approx (acos (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t))) (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))))
#s(approx (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t)) (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))
#s(approx (/ (/ (* 3 x) (* 27 y)) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64)))
#s(approx (/ (* 3 x) (* 27 y)) (*.f64 #s(literal 1/9 binary64) (/.f64 x y)))
#s(approx (* 3 x) (*.f64 x #s(literal 3 binary64)))
#s(approx y y)
#s(approx (* z y) (*.f64 z y))
#s(approx (* 27 y) (*.f64 #s(literal 27 binary64) y))
#s(approx (/ -1 z) (/.f64 #s(literal -1 binary64) z))
#s(approx z z)
#s(approx (* z 2) (*.f64 #s(literal 2 binary64) z))
#s(approx (* 1/18 (sqrt t)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
#s(approx (sqrt t) (sqrt.f64 t))
#s(approx t t)
#s(approx (* (/ 1 3) (acos (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (neg.f64 (/.f64 x (.f64 z y))) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1/3 binary64)))
#s(approx (* (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) 1/3) (.f64 (acos.f64 (.f64 (.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (neg.f64 (/.f64 x (.f64 z y))))) #s(literal 1/3 binary64)))
#s(approx (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) (acos.f64 (.f64 (.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (neg.f64 (/.f64 x (*.f64 z y))))))
#s(approx (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z))) (.f64 (neg.f64 (/.f64 x (.f64 z y))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
#s(approx (* 1/18 (sqrt t)) (.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 t)) #s(literal -1/18 binary64)))
#s(approx (sqrt t) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 t))))
#s(approx (* (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) 1/3) (.f64 (acos.f64 (.f64 (neg.f64 (/.f64 x (.f64 z y))) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1/3 binary64)))
#s(approx (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) (acos.f64 (.f64 (neg.f64 (/.f64 x (.f64 z y))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
#s(approx (* (* 1/18 (sqrt t)) (/ x (* z y))) (.f64 (.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (neg.f64 (/.f64 x (*.f64 z y)))))
#s(approx (* (/ 1 3) (acos (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (neg.f64 (/.f64 x (.f64 z y))) (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1/3 binary64)))
#s(approx (acos (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t))) (acos.f64 (.f64 (neg.f64 (/.f64 x (.f64 z y))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
#s(approx (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t)) (.f64 (.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (neg.f64 (/.f64 x (*.f64 z y)))))

eval15.0ms (0.2%)

Memory: 25.6MiB live, 25.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 4 581 to 571 computations (87.5% saved)

prune31.0ms (0.5%)

Memory

-9.9MiB live, 35.1MiB allocated; 9ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	147	2	149
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	149	3	152

Accuracy

98.5%

Counts

152 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 3 binary64)) (.f64 (.f64 #s(literal 27 binary64) y) (.f64 #s(literal 2 binary64) z))) (sqrt.f64 t))))
▶	98.1%	#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y))) #s(literal 1/3 binary64)))
✓	98.1%	#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (.f64 z y)))) #s(literal 1/3 binary64)))

Status

Accuracy

Program

▶

98.1%

(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 #s(literal 2 binary64) z))) (sqrt.f64 t))))

▶

98.1%

#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y))) #s(literal 1/3 binary64)))

✓

98.1%

#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64)))

Compiler

Compiled 85 to 74 computations (12.9% saved)

series26.0ms (0.4%)

Memory

-9.0MiB live, 37.7MiB allocated; 3ms collecting garbage

Counts

27 → 29

Calls

Call 1

Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y))) #s(literal 1/3 binary64)))
(.f64 (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y))) #s(literal 1/3 binary64))
(acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y)))
(.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
(/.f64 (/.f64 x z) y)
(/.f64 x z)
x
z
y
#s(literal 1/3 binary64)
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 3 binary64)) (.f64 (.f64 #s(literal 27 binary64) y) (.f64 #s(literal 2 binary64) z))) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)
(acos.f64 (.f64 (/.f64 (.f64 x #s(literal 3 binary64)) (.f64 (.f64 #s(literal 27 binary64) y) (*.f64 #s(literal 2 binary64) z))) (sqrt.f64 t)))
(.f64 (/.f64 (.f64 x #s(literal 3 binary64)) (.f64 (.f64 #s(literal 27 binary64) y) (*.f64 #s(literal 2 binary64) z))) (sqrt.f64 t))
(/.f64 (.f64 x #s(literal 3 binary64)) (.f64 (.f64 #s(literal 27 binary64) y) (.f64 #s(literal 2 binary64) z)))
(*.f64 x #s(literal 3 binary64))
(.f64 (.f64 #s(literal 27 binary64) y) (*.f64 #s(literal 2 binary64) z))
(*.f64 #s(literal 27 binary64) y)
#s(literal 27 binary64)
(*.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)

Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (* (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (* 1/18 (sqrt t)) (/ (/ x z) y)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (/ (/ x z) y) #s(hole binary64 (/ x (* y z))))
#s(approx (/ x z) #s(hole binary64 (/ x z)))
#s(approx x #s(hole binary64 x))
#s(approx (* (/ 1 3) (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (/ (* x 3) (* (* 27 y) (* 2 z))) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (* x 3) #s(hole binary64 (* 3 x)))
#s(approx y #s(hole binary64 y))
#s(approx (* (* 27 y) (* 2 z)) #s(hole binary64 (* 54 (* y z))))
#s(approx (* 27 y) #s(hole binary64 (* 27 y)))
#s(approx z #s(hole binary64 z))
#s(approx (* 2 z) #s(hole binary64 (* 2 z)))
#s(approx (* 1/18 (sqrt t)) #s(hole binary64 (* 1/18 (sqrt t))))
#s(approx (sqrt t) #s(hole binary64 (sqrt t)))
#s(approx t #s(hole binary64 t))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (* (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (* 1/18 (sqrt t)) (/ (/ x z) y)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (* 1/18 (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))))
#s(approx (sqrt t) #s(hole binary64 (* -1 (* (sqrt t) (pow (sqrt -1) 2)))))
#s(approx (* (/ 1 3) (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	z	@	0	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) 1/3) (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) (* (* 1/18 (sqrt t)) (/ (/ x z) y)) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (/ (/ x z) y) (/ x z) x z y 1/3 (* (/ 1 3) (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)))) (/ 1 3) 1 3 (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t))) (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)) (/ (* x 3) (* (* 27 y) (* 2 z))) (* x 3) (* (* 27 y) (* 2 z)) (* 27 y) 27 (* 2 z) 2)
2.0ms	x	@	-inf	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) 1/3) (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) (* (* 1/18 (sqrt t)) (/ (/ x z) y)) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (/ (/ x z) y) (/ x z) x z y 1/3 (* (/ 1 3) (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)))) (/ 1 3) 1 3 (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t))) (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)) (/ (* x 3) (* (* 27 y) (* 2 z))) (* x 3) (* (* 27 y) (* 2 z)) (* 27 y) 27 (* 2 z) 2)
2.0ms	z	@	-inf	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) 1/3) (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) (* (* 1/18 (sqrt t)) (/ (/ x z) y)) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (/ (/ x z) y) (/ x z) x z y 1/3 (* (/ 1 3) (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)))) (/ 1 3) 1 3 (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t))) (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)) (/ (* x 3) (* (* 27 y) (* 2 z))) (* x 3) (* (* 27 y) (* 2 z)) (* 27 y) 27 (* 2 z) 2)
2.0ms	z	@	inf	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) 1/3) (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) (* (* 1/18 (sqrt t)) (/ (/ x z) y)) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (/ (/ x z) y) (/ x z) x z y 1/3 (* (/ 1 3) (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)))) (/ 1 3) 1 3 (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t))) (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)) (/ (* x 3) (* (* 27 y) (* 2 z))) (* x 3) (* (* 27 y) (* 2 z)) (* 27 y) 27 (* 2 z) 2)
2.0ms	x	@	inf	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) 1/3) (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) (* (* 1/18 (sqrt t)) (/ (/ x z) y)) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (/ (/ x z) y) (/ x z) x z y 1/3 (* (/ 1 3) (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)))) (/ 1 3) 1 3 (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t))) (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)) (/ (* x 3) (* (* 27 y) (* 2 z))) (* x 3) (* (* 27 y) (* 2 z)) (* 27 y) 27 (* 2 z) 2)

rewrite29.0ms (0.4%)

Memory

30.2MiB live, 30.2MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	691
0	132	663
0	275	663

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

56 → 89

Calls

Call 1

Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y))) #s(literal 1/3 binary64)))
(.f64 (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y))) #s(literal 1/3 binary64))
(acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y)))
(.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
(/.f64 (/.f64 x z) y)
(/.f64 x z)
x
z
y
#s(literal 1/3 binary64)
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 3 binary64)) (.f64 (.f64 #s(literal 27 binary64) y) (.f64 #s(literal 2 binary64) z))) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)
(acos.f64 (.f64 (/.f64 (.f64 x #s(literal 3 binary64)) (.f64 (.f64 #s(literal 27 binary64) y) (*.f64 #s(literal 2 binary64) z))) (sqrt.f64 t)))
(.f64 (/.f64 (.f64 x #s(literal 3 binary64)) (.f64 (.f64 #s(literal 27 binary64) y) (*.f64 #s(literal 2 binary64) z))) (sqrt.f64 t))
(/.f64 (.f64 x #s(literal 3 binary64)) (.f64 (.f64 #s(literal 27 binary64) y) (.f64 #s(literal 2 binary64) z)))
(*.f64 x #s(literal 3 binary64))
(.f64 (.f64 #s(literal 27 binary64) y) (*.f64 #s(literal 2 binary64) z))
(*.f64 #s(literal 27 binary64) y)
#s(literal 27 binary64)
(*.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (* (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (* 1/18 (sqrt t)) (/ (/ x z) y)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (/ (/ x z) y) #s(hole binary64 (/ x (* y z))))
#s(approx (/ x z) #s(hole binary64 (/ x z)))
#s(approx x #s(hole binary64 x))
#s(approx (* (/ 1 3) (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (/ (* x 3) (* (* 27 y) (* 2 z))) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (* x 3) #s(hole binary64 (* 3 x)))
#s(approx y #s(hole binary64 y))
#s(approx (* (* 27 y) (* 2 z)) #s(hole binary64 (* 54 (* y z))))
#s(approx (* 27 y) #s(hole binary64 (* 27 y)))
#s(approx z #s(hole binary64 z))
#s(approx (* 2 z) #s(hole binary64 (* 2 z)))
#s(approx (* 1/18 (sqrt t)) #s(hole binary64 (* 1/18 (sqrt t))))
#s(approx (sqrt t) #s(hole binary64 (sqrt t)))
#s(approx t #s(hole binary64 t))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (* (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (* 1/18 (sqrt t)) (/ (/ x z) y)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (* 1/18 (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))))
#s(approx (sqrt t) #s(hole binary64 (* -1 (* (sqrt t) (pow (sqrt -1) 2)))))
#s(approx (* (/ 1 3) (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))

Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)))) (.f64 (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (.f64 z y)))) #s(literal 1/3 binary64)))
(.f64 (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (.f64 z y)))) #s(literal 1/3 binary64))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (.f64 z y)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))))
(acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))
(.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))
(.f64 (.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 t)) #s(literal 1/18 binary64))
(.f64 (/.f64 x (.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(.f64 #s(literal 1/18 binary64) (.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 t)))
(/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x z)) y)
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
#s(literal 1/18 binary64)
(pow.f64 t #s(literal 1/2 binary64))
(sqrt.f64 t)
t
(/.f64 (/.f64 x y) z)
(/.f64 (neg.f64 (/.f64 x z)) (neg.f64 y))
(/.f64 (neg.f64 x) (neg.f64 (*.f64 z y)))
(/.f64 (/.f64 x z) y)
(/.f64 x (*.f64 z y))
(/.f64 (neg.f64 x) (neg.f64 z))
(/.f64 x z)
x
z
y
#s(literal 1/3 binary64)
(.f64 (acos.f64 (.f64 (.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) (/.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) z))) (sqrt.f64 t))) #s(literal 1/3 binary64))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) (/.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) z))) (sqrt.f64 t))))
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (.f64 (.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) (/.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) z))) (sqrt.f64 t))))
(acos.f64 (.f64 (.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) (/.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) z))) (sqrt.f64 t)))
(.f64 (.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) (/.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) z))) (sqrt.f64 t))
(.f64 (sqrt.f64 t) (.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) (/.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) z))))
(/.f64 (.f64 (/.f64 (.f64 x #s(literal 3 binary64)) (.f64 #s(literal 27 binary64) y)) (sqrt.f64 t)) (.f64 #s(literal 2 binary64) z))
(/.f64 (.f64 (.f64 x #s(literal 3 binary64)) (sqrt.f64 t)) (.f64 (.f64 (*.f64 #s(literal 27 binary64) y) #s(literal 2 binary64)) z))
(*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 2 binary64)))
(.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) (/.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) z)))
(.f64 x (/.f64 #s(literal 3 binary64) (.f64 (.f64 (.f64 #s(literal 27 binary64) y) #s(literal 2 binary64)) z)))
(.f64 #s(literal 3 binary64) (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) (.f64 #s(literal 2 binary64) z)))
(/.f64 (/.f64 (/.f64 (.f64 x #s(literal 3 binary64)) (.f64 #s(literal 27 binary64) y)) z) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 x #s(literal 3 binary64))) (neg.f64 (.f64 (.f64 (.f64 #s(literal 27 binary64) y) #s(literal 2 binary64)) z)))
(/.f64 (neg.f64 (/.f64 (.f64 x #s(literal 3 binary64)) (.f64 #s(literal 27 binary64) y))) (neg.f64 (*.f64 #s(literal 2 binary64) z)))
(/.f64 (.f64 x #s(literal 3 binary64)) (.f64 (.f64 (.f64 #s(literal 27 binary64) y) #s(literal 2 binary64)) z))
(/.f64 (/.f64 (.f64 x #s(literal 3 binary64)) (.f64 #s(literal 27 binary64) y)) (*.f64 #s(literal 2 binary64) z))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
(.f64 (.f64 (*.f64 #s(literal 27 binary64) y) #s(literal 2 binary64)) z)
(.f64 (.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 27 binary64) y))
(.f64 (.f64 #s(literal 27 binary64) y) (*.f64 #s(literal 2 binary64) z))
(.f64 #s(literal 27 binary64) (.f64 y (*.f64 #s(literal 2 binary64) z)))
(*.f64 #s(literal 27 binary64) y)
(*.f64 y #s(literal 27 binary64))
#s(literal 27 binary64)
(*.f64 #s(literal 2 binary64) z)
(*.f64 z #s(literal 2 binary64))
(+.f64 z z)
#s(literal 2 binary64)
#s(approx (* (/ 1 3) (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)))) (.f64 (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (.f64 z y)))) #s(literal 1/3 binary64)))
#s(approx (* (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) 1/3) (.f64 (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (.f64 z y)))) #s(literal 1/3 binary64)))
#s(approx (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))))
#s(approx (* (* 1/18 (sqrt t)) (/ (/ x z) y)) (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))
#s(approx (/ (/ x z) y) (/.f64 x (*.f64 z y)))
#s(approx (/ x z) (/.f64 x z))
#s(approx x x)
#s(approx (* (/ 1 3) (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)))) (.f64 (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (.f64 z y)))) #s(literal 1/3 binary64)))
#s(approx (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t))) (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))))
#s(approx (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)) (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))
#s(approx (/ (* x 3) (* (* 27 y) (* 2 z))) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64)))
#s(approx (* x 3) (*.f64 x #s(literal 3 binary64)))
#s(approx y y)
#s(approx (* (* 27 y) (* 2 z)) (.f64 #s(literal 54 binary64) (.f64 z y)))
#s(approx (* 27 y) (*.f64 #s(literal 27 binary64) y))
#s(approx z z)
#s(approx (* 2 z) (*.f64 #s(literal 2 binary64) z))
#s(approx (* 1/18 (sqrt t)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
#s(approx (sqrt t) (sqrt.f64 t))
#s(approx t t)
#s(approx (* (/ 1 3) (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)))) (.f64 (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))) #s(literal 1/3 binary64)))
#s(approx (* (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) 1/3) (.f64 (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))) #s(literal 1/3 binary64)))
#s(approx (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))))
#s(approx (* (* 1/18 (sqrt t)) (/ (/ x z) y)) (.f64 (.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z))))
#s(approx (* 1/18 (sqrt t)) (.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 t)) #s(literal -1/18 binary64)))
#s(approx (sqrt t) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 t))))
#s(approx (* (/ 1 3) (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)))) (.f64 (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))) #s(literal 1/3 binary64)))
#s(approx (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t))) (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))))
#s(approx (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)) (.f64 (.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z))))

eval34.0ms (0.5%)

Memory: -27.0MiB live, 20.0MiB allocated; 25ms collecting garbage
Compiler: Compiled 2 708 to 388 computations (85.7% saved)

prune7.0ms (0.1%)

Memory

12.3MiB live, 12.3MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	0	0	0
Picked	1	1	2
Done	0	1	1
Total	98	3	101

Accuracy

98.5%

Counts

101 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 3 binary64)) #s(approx ( (* 27 y) (* 2 z)) (.f64 #s(literal 54 binary64) (.f64 z y)))) (sqrt.f64 t))))
✓	98.1%	#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y))) #s(literal 1/3 binary64)))
✓	98.1%	#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (.f64 z y)))) #s(literal 1/3 binary64)))

Status

Accuracy

Program

▶

98.1%

(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) #s(approx (* (* 27 y) (* 2 z)) (*.f64 #s(literal 54 binary64) (*.f64 z y)))) (sqrt.f64 t))))

✓

98.1%

#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y))) #s(literal 1/3 binary64)))

✓

98.1%

#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64)))

Compiler

Compiled 91 to 78 computations (14.3% saved)

series19.0ms (0.3%)

Memory

-21.2MiB live, 28.0MiB allocated; 2ms collecting garbage

Counts

17 → 17

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 3 binary64)) #s(approx ( (* 27 y) (* 2 z)) (.f64 #s(literal 54 binary64) (.f64 z y)))) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)
(acos.f64 (.f64 (/.f64 (.f64 x #s(literal 3 binary64)) #s(approx (* (* 27 y) (* 2 z)) (.f64 #s(literal 54 binary64) (.f64 z y)))) (sqrt.f64 t)))
(.f64 (/.f64 (.f64 x #s(literal 3 binary64)) #s(approx (* (* 27 y) (* 2 z)) (.f64 #s(literal 54 binary64) (.f64 z y)))) (sqrt.f64 t))
(/.f64 (.f64 x #s(literal 3 binary64)) #s(approx ( (* 27 y) (* 2 z)) (.f64 #s(literal 54 binary64) (.f64 z y))))
(*.f64 x #s(literal 3 binary64))
x
#s(approx (* (* 27 y) (* 2 z)) (.f64 #s(literal 54 binary64) (.f64 z y)))
(.f64 #s(literal 54 binary64) (.f64 z y))
#s(literal 54 binary64)
(*.f64 z y)
z
y
(sqrt.f64 t)
t

Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (/ (* x 3) (* (* 27 y) (* 2 z))) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (* x 3) #s(hole binary64 (* 3 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* 27 y) (* 2 z)) #s(hole binary64 (* 54 (* y z))))
#s(approx (* 54 (* z y)) #s(hole binary64 (* 54 (* y z))))
#s(approx (* z y) #s(hole binary64 (* y z)))
#s(approx y #s(hole binary64 y))
#s(approx z #s(hole binary64 z))
#s(approx (sqrt t) #s(hole binary64 (sqrt t)))
#s(approx t #s(hole binary64 t))
#s(approx (* (/ 1 3) (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (sqrt t) #s(hole binary64 (* -1 (* (sqrt t) (pow (sqrt -1) 2)))))

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	z	@	inf	((* (/ 1 3) (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)))) (/ 1 3) 1 3 (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t))) (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)) (/ (* x 3) (* (* 27 y) (* 2 z))) (* x 3) x (* (* 27 y) (* 2 z)) (* 54 (* z y)) 54 (* z y) z y (sqrt t) t)
2.0ms	z	@	-inf	((* (/ 1 3) (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)))) (/ 1 3) 1 3 (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t))) (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)) (/ (* x 3) (* (* 27 y) (* 2 z))) (* x 3) x (* (* 27 y) (* 2 z)) (* 54 (* z y)) 54 (* z y) z y (sqrt t) t)
2.0ms	y	@	-inf	((* (/ 1 3) (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)))) (/ 1 3) 1 3 (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t))) (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)) (/ (* x 3) (* (* 27 y) (* 2 z))) (* x 3) x (* (* 27 y) (* 2 z)) (* 54 (* z y)) 54 (* z y) z y (sqrt t) t)
2.0ms	y	@	inf	((* (/ 1 3) (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)))) (/ 1 3) 1 3 (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t))) (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)) (/ (* x 3) (* (* 27 y) (* 2 z))) (* x 3) x (* (* 27 y) (* 2 z)) (* 54 (* z y)) 54 (* z y) z y (sqrt t) t)
2.0ms	t	@	-inf	((* (/ 1 3) (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)))) (/ 1 3) 1 3 (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t))) (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)) (/ (* x 3) (* (* 27 y) (* 2 z))) (* x 3) x (* (* 27 y) (* 2 z)) (* 54 (* z y)) 54 (* z y) z y (sqrt t) t)

rewrite25.0ms (0.4%)

Memory

25.4MiB live, 25.4MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	382
0	83	369
0	188	369

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

34 → 46

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 3 binary64)) #s(approx ( (* 27 y) (* 2 z)) (.f64 #s(literal 54 binary64) (.f64 z y)))) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)
(acos.f64 (.f64 (/.f64 (.f64 x #s(literal 3 binary64)) #s(approx (* (* 27 y) (* 2 z)) (.f64 #s(literal 54 binary64) (.f64 z y)))) (sqrt.f64 t)))
(.f64 (/.f64 (.f64 x #s(literal 3 binary64)) #s(approx (* (* 27 y) (* 2 z)) (.f64 #s(literal 54 binary64) (.f64 z y)))) (sqrt.f64 t))
(/.f64 (.f64 x #s(literal 3 binary64)) #s(approx ( (* 27 y) (* 2 z)) (.f64 #s(literal 54 binary64) (.f64 z y))))
(*.f64 x #s(literal 3 binary64))
x
#s(approx (* (* 27 y) (* 2 z)) (.f64 #s(literal 54 binary64) (.f64 z y)))
(.f64 #s(literal 54 binary64) (.f64 z y))
#s(literal 54 binary64)
(*.f64 z y)
z
y
(sqrt.f64 t)
t
#s(approx (* (/ 1 3) (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (/ (* x 3) (* (* 27 y) (* 2 z))) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (* x 3) #s(hole binary64 (* 3 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* 27 y) (* 2 z)) #s(hole binary64 (* 54 (* y z))))
#s(approx (* 54 (* z y)) #s(hole binary64 (* 54 (* y z))))
#s(approx (* z y) #s(hole binary64 (* y z)))
#s(approx y #s(hole binary64 y))
#s(approx z #s(hole binary64 z))
#s(approx (sqrt t) #s(hole binary64 (sqrt t)))
#s(approx t #s(hole binary64 t))
#s(approx (* (/ 1 3) (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (sqrt t) #s(hole binary64 (* -1 (* (sqrt t) (pow (sqrt -1) 2)))))

Outputs
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 x #s(literal 3 binary64)) #s(approx ( (* 27 y) (* 2 z)) (.f64 (.f64 z y) #s(literal 54 binary64)))))))
(.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 x #s(literal 3 binary64)) #s(approx ( (* 27 y) (* 2 z)) (.f64 (.f64 z y) #s(literal 54 binary64)))))) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 x #s(literal 3 binary64)) #s(approx (* (* 27 y) (* 2 z)) (.f64 (.f64 z y) #s(literal 54 binary64)))))))
(acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 x #s(literal 3 binary64)) #s(approx (* (* 27 y) (* 2 z)) (.f64 (.f64 z y) #s(literal 54 binary64))))))
(.f64 (sqrt.f64 t) (/.f64 (.f64 x #s(literal 3 binary64)) #s(approx (* (* 27 y) (* 2 z)) (.f64 (.f64 z y) #s(literal 54 binary64)))))
(.f64 (/.f64 (.f64 x #s(literal 3 binary64)) #s(approx (* (* 27 y) (* 2 z)) (.f64 (.f64 z y) #s(literal 54 binary64)))) (sqrt.f64 t))
(/.f64 (.f64 (.f64 x #s(literal 3 binary64)) (sqrt.f64 t)) #s(approx (* (* 27 y) (* 2 z)) (.f64 (.f64 z y) #s(literal 54 binary64))))
(.f64 x (/.f64 #s(literal 3 binary64) #s(approx ( (* 27 y) (* 2 z)) (.f64 (.f64 z y) #s(literal 54 binary64)))))
(/.f64 (neg.f64 (.f64 x #s(literal 3 binary64))) (neg.f64 #s(approx ( (* 27 y) (* 2 z)) (.f64 (.f64 z y) #s(literal 54 binary64)))))
(/.f64 (.f64 x #s(literal 3 binary64)) #s(approx ( (* 27 y) (* 2 z)) (.f64 (.f64 z y) #s(literal 54 binary64))))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
x
#s(approx (* (* 27 y) (* 2 z)) (.f64 (.f64 z y) #s(literal 54 binary64)))
(.f64 (.f64 #s(literal 54 binary64) y) z)
(.f64 (.f64 #s(literal 54 binary64) z) y)
(.f64 (.f64 z y) #s(literal 54 binary64))
(.f64 #s(literal 54 binary64) (.f64 z y))
#s(literal 54 binary64)
(*.f64 z y)
(*.f64 y z)
z
y
(pow.f64 t #s(literal 1/2 binary64))
(sqrt.f64 t)
t
#s(approx (* (/ 1 3) (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)))) (.f64 (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (.f64 z y)))) #s(literal 1/3 binary64)))
#s(approx (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t))) (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))))
#s(approx (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)) (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))
#s(approx (/ (* x 3) (* (* 27 y) (* 2 z))) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64)))
#s(approx (* x 3) (*.f64 x #s(literal 3 binary64)))
#s(approx x x)
#s(approx (* (* 27 y) (* 2 z)) (.f64 (.f64 z y) #s(literal 54 binary64)))
#s(approx (* 54 (* z y)) (.f64 (.f64 z y) #s(literal 54 binary64)))
#s(approx (* z y) (*.f64 z y))
#s(approx y y)
#s(approx z z)
#s(approx (sqrt t) (sqrt.f64 t))
#s(approx t t)
#s(approx (* (/ 1 3) (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)))) (.f64 (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))) #s(literal 1/3 binary64)))
#s(approx (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t))) (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))))
#s(approx (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)) (.f64 (.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z))))
#s(approx (sqrt t) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 t))))

eval5.0ms (0.1%)

Memory: 8.1MiB live, 8.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 228 to 187 computations (84.8% saved)

prune8.0ms (0.1%)

Memory

-36.1MiB live, 9.8MiB allocated; 3ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	45	1	46
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	46	3	49

Accuracy

98.5%

Counts

49 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

98.1%

(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 3 binary64)) #s(approx (* (* 27 y) (* 2 z)) (*.f64 (*.f64 z y) #s(literal 54 binary64)))))) #s(literal 1/3 binary64))

✓

98.1%

#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y))) #s(literal 1/3 binary64)))

✓

98.1%

#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64)))

Compiler

Compiled 295 to 162 computations (45.1% saved)

regimes34.0ms (0.5%)

Memory

8.6MiB live, 54.9MiB allocated; 2ms collecting garbage

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (.f64 z y)))) #s(literal 1/3 binary64)))
(.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 x #s(literal 3 binary64)) #s(approx ( (* 27 y) (* 2 z)) (.f64 (.f64 z y) #s(literal 54 binary64)))))) #s(literal 1/3 binary64))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y))) #s(literal 1/3 binary64)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))) #s(literal 1/3 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 3 binary64)) #s(approx ( (* 27 y) (* 2 z)) (.f64 #s(literal 54 binary64) (.f64 z y)))) (sqrt.f64 t))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 3 binary64)) (.f64 (.f64 #s(literal 27 binary64) y) (.f64 #s(literal 2 binary64) z))) (sqrt.f64 t))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 27 binary64) y)) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))

Outputs

(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 27 binary64) y)) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))

Calls

13 calls:

4.0ms	(*.f64 y #s(literal 27 binary64))
3.0ms	(*.f64 z #s(literal 2 binary64))
3.0ms	t
3.0ms	y
3.0ms	(sqrt.f64 t)

Results

Accuracy	Segments	Branch
98.5%	1	`(sqrt.f64 t)`
98.5%	1	`(*.f64 z #s(literal 2 binary64))`
98.5%	1	`(*.f64 y #s(literal 27 binary64))`
98.5%	1	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
98.5%	1	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
98.5%	1	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
98.5%	1	`(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))`
98.5%	1	`(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))`
98.5%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))`
98.5%	1	`x`
98.5%	1	`y`
98.5%	1	`z`
98.5%	1	`t`

Compiler

Compiled 83 to 108 computations (-30.1% saved)

regimes86.0ms (1.3%)

Memory

9.8MiB live, 51.0MiB allocated; 72ms collecting garbage

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (.f64 z y)))) #s(literal 1/3 binary64)))
(.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 x #s(literal 3 binary64)) #s(approx ( (* 27 y) (* 2 z)) (.f64 (.f64 z y) #s(literal 54 binary64)))))) #s(literal 1/3 binary64))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y))) #s(literal 1/3 binary64)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))) #s(literal 1/3 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 3 binary64)) #s(approx ( (* 27 y) (* 2 z)) (.f64 #s(literal 54 binary64) (.f64 z y)))) (sqrt.f64 t))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 3 binary64)) (.f64 (.f64 #s(literal 27 binary64) y) (.f64 #s(literal 2 binary64) z))) (sqrt.f64 t))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))

Outputs

(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))

Calls

13 calls:

58.0ms	(/.f64 x (*.f64 y #s(literal 27 binary64)))
3.0ms	(*.f64 z #s(literal 2 binary64))
2.0ms	(*.f64 y #s(literal 27 binary64))
2.0ms	(sqrt.f64 t)
2.0ms	x

Results

Accuracy	Segments	Branch
98.5%	1	`(sqrt.f64 t)`
98.5%	1	`(*.f64 z #s(literal 2 binary64))`
98.5%	1	`(*.f64 y #s(literal 27 binary64))`
98.5%	1	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
98.5%	1	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
98.5%	1	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
98.5%	1	`(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))`
98.5%	1	`(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))`
98.5%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))`
98.5%	1	`x`
98.5%	1	`y`
98.5%	1	`z`
98.5%	1	`t`

Compiler

Compiled 83 to 108 computations (-30.1% saved)

regimes31.0ms (0.5%)

Memory

-5.3MiB live, 47.4MiB allocated; 6ms collecting garbage

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (.f64 z y)))) #s(literal 1/3 binary64)))
(.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 x #s(literal 3 binary64)) #s(approx ( (* 27 y) (* 2 z)) (.f64 (.f64 z y) #s(literal 54 binary64)))))) #s(literal 1/3 binary64))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y))) #s(literal 1/3 binary64)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))) #s(literal 1/3 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 3 binary64)) #s(approx ( (* 27 y) (* 2 z)) (.f64 #s(literal 54 binary64) (.f64 z y)))) (sqrt.f64 t))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 3 binary64)) (.f64 (.f64 #s(literal 27 binary64) y) (.f64 #s(literal 2 binary64) z))) (sqrt.f64 t))))

Outputs
(.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 x #s(literal 3 binary64)) #s(approx ( (* 27 y) (* 2 z)) (.f64 (.f64 z y) #s(literal 54 binary64)))))) #s(literal 1/3 binary64))

Calls

13 calls:

2.0ms	(sqrt.f64 t)
2.0ms	(*.f64 y #s(literal 27 binary64))
2.0ms	x
2.0ms	t
2.0ms	(*.f64 z #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
98.1%	1	`(sqrt.f64 t)`
98.1%	1	`(*.f64 z #s(literal 2 binary64))`
98.1%	1	`(*.f64 y #s(literal 27 binary64))`
98.1%	1	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
98.1%	1	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
98.1%	1	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
98.1%	1	`(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))`
98.1%	1	`(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))`
98.1%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))`
98.1%	1	`x`
98.1%	1	`y`
98.1%	1	`z`
98.1%	1	`t`

Compiler

Compiled 83 to 108 computations (-30.1% saved)

regimes13.0ms (0.2%)

Memory

29.3MiB live, 29.3MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (.f64 z y)))) #s(literal 1/3 binary64)))

Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (.f64 z y)))) #s(literal 1/3 binary64)))

Calls

13 calls:

1.0ms	(/.f64 x (*.f64 y #s(literal 27 binary64)))
1.0ms	(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
1.0ms	(*.f64 z #s(literal 2 binary64))
1.0ms	(*.f64 y #s(literal 27 binary64))
1.0ms	t

Results

Accuracy	Segments	Branch
98.1%	1	`(sqrt.f64 t)`
98.1%	1	`(*.f64 z #s(literal 2 binary64))`
98.1%	1	`(*.f64 y #s(literal 27 binary64))`
98.1%	1	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
98.1%	1	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
98.1%	1	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
98.1%	1	`(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))`
98.1%	1	`(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))`
98.1%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))`
98.1%	1	`x`
98.1%	1	`y`
98.1%	1	`z`
98.1%	1	`t`

Compiler

Compiled 83 to 108 computations (-30.1% saved)

simplify55.0ms (0.9%)

Memory

-28.7MiB live, 62.9MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	92
1	86	92
2	198	92
3	711	92
4	3716	92
5	6091	92

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 27 binary64) y)) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 x #s(literal 3 binary64)) #s(approx ( (* 27 y) (* 2 z)) (.f64 (.f64 z y) #s(literal 54 binary64)))))) #s(literal 1/3 binary64))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (.f64 z y)))) #s(literal 1/3 binary64)))

Outputs
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 27 binary64) y)) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 x #s(literal 3 binary64)) #s(approx ( (* 27 y) (* 2 z)) (.f64 (.f64 z y) #s(literal 54 binary64)))))) #s(literal 1/3 binary64))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (.f64 z y)))) #s(literal 1/3 binary64)))

derivations7.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 94 to 59 computations (37.2% saved)

preprocess55.0ms (0.8%)

Memory: -13.6MiB live, 76.9MiB allocated; 19ms collecting garbage
Compiler: Compiled 336 to 258 computations (23.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze402.0ms (6.2%)

sample4.6s (70.9%)

explain494.0ms (7.6%)

preprocess300.0ms (4.6%)

eval0.0ms (0%)

prune1.0ms (0%)

series35.0ms (0.5%)

rewrite50.0ms (0.8%)

eval6.0ms (0.1%)

prune3.0ms (0%)

series58.0ms (0.9%)

rewrite65.0ms (1%)

eval15.0ms (0.2%)

prune31.0ms (0.5%)

series26.0ms (0.4%)

rewrite29.0ms (0.4%)

eval34.0ms (0.5%)

prune7.0ms (0.1%)

series19.0ms (0.3%)

rewrite25.0ms (0.4%)

eval5.0ms (0.1%)

prune8.0ms (0.1%)

regimes34.0ms (0.5%)

regimes86.0ms (1.3%)

regimes31.0ms (0.5%)

regimes13.0ms (0.2%)

simplify55.0ms (0.9%)

derivations7.0ms (0.1%)

preprocess55.0ms (0.8%)

end0.0ms (0%)

Profiling